Least Common Multiple of 34/510, 23/840, 216/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/510, 23/840, 216/538 quickly i.e. 42228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/510, 23/840, 216/538 is 42228.

LCM(34/510, 23/840, 216/538) = 42228

LCM of 34/510, 23/840, 216/538

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 34/510,23/840,216/538

Given numbers are 34/510,23/840,216/538

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 34,23,216

Least Common Multiple of Numerators i.e. LCM of 34,23,216 is 84456.

GCF of Denominators means GCF of 510,840,538 as per the given fractions.

GCF of 510,840,538 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,23,216

LCM of Fractions 34/510,23/840,216/538 is 42228

2 34, 23, 216
17, 23, 108

∴ So the LCM of the given numbers is 2 x 17 x 23 x 108 = 84456

Least Common Multiple of 34,23,216 with GCF Formula

Least Common Multiple of 34,23,216 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 34,23,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,23,216) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(34,23,216) x common factors =1 x 2 = 2

LCM(34,23,216) = ( 34 × 23 × 216 ) / 2

LCM(34,23,216) = 168912 / 2

LCM(34,23,216) = 84456


Lets's calculate GCF of 510,840,538

2 510, 840, 538
255, 420, 269

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84456/2

Therefore the LCM of Fractions 34/510,23/840,216/538 is 42228

Greatest Common Factor of 510,840,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,840,538 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 510,840,538 . The biggest common factor number is the GCF number.
So the greatest common factor 510,840,538 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 34/510, 23/840, 216/538

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 34/510, 23/840, 216/538?

Answer: LCM of Numerators as per given numbers 34/510, 23/840, 216/538 is

LCM of Numerators i.e. for 34,23,216 is 84456

GCF of denominators i.e. for 510,840,538 is 2.

Thus, LCM of Fractions is 42228.Finally, LCM of Fractions for 34/510, 23/840, 216/538 is 42228.